This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Fourier Series Properties – 2″.

1. What is the outcome of a periodic convolution of signals in case of continuous time fourier series?

a) Division in frequency domain

b) Multiplication in frequency domain

c) Convolution is easier

d) Addition of signals in frequency domain

2. What is the multiplication property of continuous time fourier series?

a) Convolution of the signals

b) Multiplication of the elements of the signal

c) Division of the frequency domain

d) Addition of the signals in frequency domain

3. Can continuous time fourier series undergo periodic convolution?

a) They cannot undergo periodic convoluion

b) They can undergo in certain situations

c) They undergo periodic convolution

d) Only even signals undergo periodic convolution

4. What is the differentiation property of continuous time fourier series?

a) Y_{n} = jnwtX_{n}

b) Y_{n} = jntX_{n}

c) Y_{n} = jnwX_{n}

d) X_{n} = jnwtX_{n}

5. What is the integration property of the continuous time fourier series?

a) y(t) ↔ Y_{n} = 1/jnwX_{n}

b) y(t) ↔ Y_{n} = 1/jwX_{n}

c) y(t) ↔ Y_{n} = 1/jnX_{n}

d) y(t) ↔ Y_{n} = 1/jnw

6. What is the complex conjugate property of a fourier series?

a) It leads to convolution

b) It leads to time reversal

c) It leads to multiplication

d) It leads to addition of signals

7. What is the fourier series coefficient for n=0?

a) Zero

b) Unity

c) Depends on the situation

d) Non zero positive

8. What is the smoothing operation?

a) Differentiation property

b) Multiplication property

c) Integration property

d) Conjugation property

9. If the signal x(t) is odd, what will be the fourier series soeffiients?

a) Real and even

b) Odd

c) Real only

d) Real and odd

10. If the signal x(t) is even, what will be the fourier series coefficients?

a) Real and even

b) Odd

c) Real only

d) Imaginary and odd

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